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Finding the Fourth Proportional to 25,515.96, 35,212.50 and 14,186.40

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Solution

The fourth proportional to 25,515.96, 35,212.50 and 14,186.40 is: 19,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515.96 : 35,212.50 = 14,186.40 : x
  2. Step 2: Convert to fraction form
    25,515.96/35,212.50 = 14,186.40/x
  3. Step 3: Cross multiply
    25,515.96x = 35,212.50 × 14,186.40
  4. Step 4: Simplify right side
    25,515.96x = 499,538,610
  5. Step 5: Solve for x
    x = 499,538,610/25,515.96
  6. Step 6: Final answer
    x = 19,577.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.